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(a) Figure 10 shows a rectangular metal block of density `10500kgm^-3` and dimensions 30cm ×20cm×20cm suspended inside a liquid of density `1200kgm^-3` by a string attached to a point above the liquid. The three forces acting on the block are the
tension T, on the string, the weight W of the block and the upthrust U due to the liquid.

(i) Write the expression relating to T, W and U when the block is in equilibrium inside the liquid.
(ii) Determine the weight, W of the block
(iii) Determine the weight of the liquid displaced by the
fully submerged block.
(iv) Hence determine the tension, T in the string.
(b) A certain solid of volume `50cm^3` displaces`10cm^3` of kerosene (Density 800`kgm^-3`) when floating. Determine the density of the solid.